4 papers
On the -matrix of Schrödinger operator with nonlocal -interaction
Anna Główczyk, Sergiusz Kużel
Schrödinger operators with nonlocal -interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips appro…
On Description of Dual Frames
Alan Kamuda, Sergiusz Kużel
One of a key problems in signal reconstruction process with the use of frames is to find a dual frame. Typically, a canonical dual frame is used. However, there are many applicatio…
Towards Generalized Riesz Systems Theory
Alan Kamuda, Sergiusz Kużel
Pseudo-Hermitian Hamiltonians have recently become a field of wide investigation. Originally, the Generalized Riesz Systems (GRS) have been introduced as an auxiliary tool in this…
On -frames related to maximal definite subspaces
Alan Kamuda, Sergiusz Kużel
A definition of frames in Krein spaces is proposed which extends the concept of -frames defined by J.I. Giribet et al., J. Math. Anal. Appl. (2012), 122-137. Th…